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Finding the Fourth Proportional to 498,914.24, 688,533.38 and 284,073.08

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Solution

The fourth proportional to 498,914.24, 688,533.38 and 284,073.08 is: 392,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,914.24 : 688,533.38 = 284,073.08 : x
  2. Step 2: Convert to fraction form
    498,914.24/688,533.38 = 284,073.08/x
  3. Step 3: Cross multiply
    498,914.24x = 688,533.38 × 284,073.08
  4. Step 4: Simplify right side
    498,914.24x = 195,593,797,939.41
  5. Step 5: Solve for x
    x = 195,593,797,939.41/498,914.24
  6. Step 6: Final answer
    x = 392,038.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.